Crystal isomorphisms for irreducible highest weight $U_{v}{\hat{sl}}_{e})$-modules of higher level
Résumé
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the classes of multipartitions which naturally label these graphs: the Uglov multipartitions. This is achieved by expliciting an embedding of the $U_{v}(\hat{sl}}_{e})$-crystals of level l into $U_{v}(\hat{sl}_{\infty })$-crystals associated to highest weight modules.
Origine | Fichiers produits par l'(les) auteur(s) |
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